67312421925606 has 384 divisors, whose sum is σ = 186755059161216. Its totient is φ = 17202134384640.

The previous prime is 67312421925599. The next prime is 67312421925641. The reversal of 67312421925606 is 60652912421376.

It is a happy number.

67312421925606 is a `hidden beast` number, since 6 + 7 + 3 + 1 + 2 + 4 + 2 + 1 + 9 + 25 + 606 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 700998910 + ... + 701094926.

It is an arithmetic number, because the mean of its divisors is an integer number (486341299899).

Almost surely, 2^{67312421925606} is an apocalyptic number.

67312421925606 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 67312421925606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93377529580608).

67312421925606 is an abundant number, since it is smaller than the sum of its proper divisors (119442637235610).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67312421925606 is a wasteful number, since it uses less digits than its factorization.

67312421925606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96536 (or 96533 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 67312421925606 in words is "sixty-seven trillion, three hundred twelve billion, four hundred twenty-one million, nine hundred twenty-five thousand, six hundred six".